1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luden [163]
3 years ago
5

Two cubes have surface areas of 72 square feet and 98 square feet. what is the ratio of the volume of the small cube to the volu

me of the large cube?
Mathematics
2 answers:
Paha777 [63]3 years ago
5 0

Answer:

Ratio of the volumes of the cubes = 216 : 343

Step-by-step explanation:

Since surface area of a cube is represented as 6a² where a is the side of a cube.

Let a is one side of large cube and b is the side of smaller one.

Ratio of their surface area = \frac{6a^{2} }{6b^{2}}=\frac{72}{98}

(\frac{a}{b})^{2}=\frac{36}{49}

\frac{a}{b}=\sqrt{\frac{36}{49}}

\frac{a}{b}=\frac{6}{7}

Now ratio of the volumes = \frac{a^{3} }{b^{3}}=(\frac{1}{b})^{3}

Ratio = (\frac{6}{7})^{3}=\frac{216}{343}

Therefore, ratio of the volumes of the cubes = 216 : 343

Serjik [45]3 years ago
3 0
Let's denote the sides of the small and bigger cubes a and b respectively. Then, we can write that 6a^{2}=72, a=2\sqrt{3} and 6b^{2}=98, b=[tex] \frac{7}{sqrt{3}}. The volume of the smaller cube is 2 sqrt{3} ^{3} =  24 sqrt{3}. The volume of the bigger cube is \frac{7}{sqrt{3}}^{3} = \frac{343}{3sqrt{3}}{. We have to find  \frac{24 sqrt{3}}{frac{343}{3sqrt{3}} = 216/343 
You might be interested in
Write the slope intercept form of each line.
Solnce55 [7]

Answer:

8

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Angie and Kim are sharing a large sub sandwich. Angie ate
VikaD [51]

They ate 2/3 together. And, they have 1/3 left!

7 0
3 years ago
The daily number of miles driven by a bus driver during a week are 50, 65, 78, 54, 53, 61, 79, and 78.
marta [7]

Answer:

C Both the mean and median are appropriate measures of center.

Step-by-step explanation:

5 0
2 years ago
A circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio.
REY [17]

Answer:

The answer is 37.68 ft.

Step-by-step explanation:

I took the quiz (K12). I would appreciate if you marked me brainliest !

4 0
2 years ago
Hello i need help on this pls <br>​
zvonat [6]
I think it says thirteen divided by thirteen and it will equal thirteen with a remainder of two hope this helps you out
8 0
3 years ago
Other questions:
  • Problems 7and 8 50 POINTS
    13·2 answers
  • If 300 were asked if they smoke and 234 do not smoke what is the percentage of people who do smoke
    7·1 answer
  • What is 370,000,000 is scientific notation?
    15·1 answer
  • There are 24 students in the class. They had the choice to buy supplies from two different stores, Store A and B. Each of them b
    5·1 answer
  • For her phone service, Kaitlin pays a monthly fee of $10, and she pays an additional $0.07 per minute of use. The least she has
    10·1 answer
  • Answer for both and explain B <br> 20+ points
    7·1 answer
  • 17/8 as an improper fraction
    14·2 answers
  • WILL MARK BRAINLIEST AND 5 STARS!!!!!
    8·1 answer
  • Solve for n<br> -112 = 7n
    11·2 answers
  • What is2/3b - 1/4b? Please help- also has to be simplified
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!